What is the Greatest Common Factor of 49527 and 49533?

Greatest common factor (GCF) of 49527 and 49533 is 3.

GCF(49527,49533) = 3

We will now calculate the prime factors of 49527 and 49533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49527 and 49533.

How to find the GCF of 49527 and 49533?

We will first find the prime factorization of 49527 and 49533. After we will calculate the factors of 49527 and 49533 and find the biggest common factor number .

Step-1: Prime Factorization of 49527

Prime factors of 49527 are 3, 5503. Prime factorization of 49527 in exponential form is:

49527 = 3² × 5503¹

Step-2: Prime Factorization of 49533

Prime factors of 49533 are 3, 11, 19, 79. Prime factorization of 49533 in exponential form is:

49533 = 3¹ × 11¹ × 19¹ × 79¹

Step-3: Factors of 49527

List of positive integer factors of 49527 that divides 49527 without a remainder.

1, 3, 9, 5503, 16509

Step-4: Factors of 49533

List of positive integer factors of 49533 that divides 49527 without a remainder.

1, 3, 11, 19, 33, 57, 79, 209, 237, 627, 869, 1501, 2607, 4503, 16511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49527 and 49533. The biggest common factor number is the GCF number.
So the greatest common factor 49527 and 49533 is 3.

Also check out the Least Common Multiple of 49527 and 49533